Some really good points pro and con above. Have come to wonder about this too.
For beside the Exodus, in Genesis we've got periodic business trips to Egypt by Joseph's family and Abraham. Much like taking a trip from the country to the big cities for trade.
It has been pointed out that an anachronism in Genesis is the reference to camel caravans (23 times), including Abraham's use of such. Archeologists attribute camel caravans to Assyrians circa 900 BC and that's about the earliest they've found evidence for their use in the Mediterranean, coming in from the east. Earlier it was either donkey or horses.
Even with the cities of Pithom and Rameses, there are problems with the description of Jewish labor with mud bricks and thatch. Egyptians built monolithic structures of sandstone. It was the Babylonians which did the former. I suspect, as do others, that much of the early Bible books were transcribed during the Babylonian era whether the traditions originated in Canaan as a local revolt - or had some origin in Egypt as well.
The origin of Moses also parallels that of Sargon I of Babylonia.(2334-2279 BC), supposedly set adrift by his mother in a basket of reeds.
The names of the months for the Hebrew calendar are similar to the names of the Babylonian calendar, not the Egyptian - which was solar rather than lunar.
What we have in preserved ( e.g from an archeological dig) writing from the time of Joshua is zero. Of David's time - well we have a sign that says house of David.
But, of course, everything in the Bible is inerrant, first hand retelling of the event and literal.