Exodus 29

4 God demanded both physical and spiritual cleanliness of His priests.
7 The anointing showed that Aaron was set apart for a special purpose. It connotes being chosen by God and receiving His Holy Spirit (Isa 61:1). Kings of Israel would also be anointed (1 Sam 9:16). Later, the Messiah is called the "Anointed One" (Dan 9:25-27).
10 When they placed their hands on the sacrifice-to-be, they symbolically transferred their sins to it.
11 As the "sin bearer," the sacrifice is killed in the place of the sinner. The punishment for sin is death (Rom 6:23), and only innocent blood (life) can pay the price for that sin (Heb 9:22).
12 A sacrifice's blood could also be used to cleanse "sin" from physical objects.
13 The fat portions were always burned on the altar along with some of the internal organs. The fat usually carries the flavor of the meat and is often considered the "best part."

Just as an aside, in modern times scientists have discovered some of the harmful effects of eating large quantities of fat and internal organs. While the meat of some sacrifices could be eaten, the fat was always burnt on the altar.

14 The rest of the sin offering was burned outside the camp because it was contaminated by sin and could not be burned on the altar.
20 It is clear that the blood on the thumb sanctifies his work and the blood on the big toe sanctifies his walk, but what about the ear? That may actually sanctify his speech. The Israelites were not allowed to eat blood (Lev 17:10-11), so putting blood on the lips would not be considered a sacred act. But since the ear is used for hearing those words, it is a good substitute for purification.
21 The garments were definitely not to be considered common. They were purified with blood and anointed with oil just as the high priest was.
24 I am not sure what gesture was used during the wave offering. It may have involved lifting the sacrifice before God in a symbolic gesture of giving. This may have been performed while facing the tabernacle rather than inside the tabernacle.
25 God does not need food -- which was the purpose of some pagan offering -- nor does He particularly delight in the smell of burning flesh. But the sweet aroma is the symbolic (and real) manifestation of the payment for and destruction of sin. God is delighted when His people are sorry they have sinned, make restitution, and determine not to sin again.
28 Eventually we will see that the tribe of Levi was not to inherit any land (they would receive several cities). So they would not be able to farm or herd flocks to obtain food. Thus, they were to rely on a portion of the sacrifices brought to the altar (1 Cor 9:13).

When people choose to minister full-time for God they will need to rely on others to provide for some of their needs. Many churches provide a salary of some type. Others provide a house, car, or other necessities depending on the situation. But the plight of ministers, especially missionaries, is the many people do not bring offerings to God in the first place. Ministering God's word is one of the most important things anyone can do. Those of us who are unable or unwilling to minister full time should gladly and generously provide for those who are.

33 This food was set apart specifically for God's full-time workers, and could not be given to others. We will find an exception to this law in 1 Sam 21:6. To God, mercy is more important that rigid adherence to any given law (Mat 12:3-4, 7).
34 There were to be no leftovers of sacred food. If there was more food available than could be eaten in one day, the remainder was to be burned. Leftovers tend to spoil, and God did not want His full-time workers to eat spoiled food and defile themselves.
35 The consecration process for the priests was long and very extensive. As workers in God's tabernacle it was very important that they be completely free from sin. This does not mean that those outside the tabernacle were any less in need of cleansing, but the priests would be in mortal danger if they had unatoned sin in the tabernacle when a theophany of God was present (Lev 10:1-3; Num 16:16-18, 35).
38 The daily sacrifice was a constant reminder that people need forgiveness of sin every day.
45 God's desire is to be with us and communicate with us. God created Adam and Eve for this purpose, but they turned away from Him. When people don't rely on God and do not obey Him they sin and this sin separates us from God. God allowed for sacrifices to atone for sins so that the relationship could be reestablished, but the permanent solution would not come until Jesus died on the cross as a perfect sacrifice for sin.