This passage is all about the First Day of Unleavened Bread, beginning with the night of solemn observance, just after sunset. Unleavened Bread pictures God's deliverance from the environment of sin. It is about what God did and does for us - it is a memorial of His deliverance. But notice where this took place: Verse 37 puts the beginning of the exodus at Succoth. That was the first place they camped after leaving Ramses in Egypt proper.
So, this is a commonality with Tabernacles, because the place the Israelites camped for the First Day of Unleavened Bread is what this feast is named after. The Jews call this Feast Sukkot, which is the Hebrew word for tabernacle, tent, or booth. And the name of the first place the Israelites camped is Succoth, which is the same word, except that it is plural. So, the Israelites stayed in booths in Succoth. This is curious because they stayed in booths in the place that had already been named booths. It was already named Succoth when they got there and made their camp. The backstory to this is found in Genesis 33:17:
So, the place the Israelites camped for the First Day of Unleavened Bread was named after the dwellings Jacob made for his livestock. Therefore the name of the place is called Succoth.