Don't ask for help if you're not willing to listen and give others a chance to help
(BTW, both of those amines are commercially available and quite common in almost any and every organic synthesis lab. So if you are able to step out of the exam room, at least you'll save some time in not having to synthesize them
)
Anyway, sorry for the rant.
Although you may think that D's lone pairs are more sterically hindered since D simply looks bigger, the lone pairs are actually more available.
Notice that in compound D, that nitrogen can't do an amine inversion. So it's lone pairs are in a sp
3 orbital that point straight down from the nitrogen (as you've drawn it in the original post). In compound E, we do have amine inversion. Furthermore, in compound E, those ethyl groups aren't tied back like the alkyl groups in D are. That means those CH
3 groups at then end and those CH
2 are allowed to spin/rotate all over the place. This is a problem b/c it effectively blocks access to E's nitrogen's lone pairs.
Therefore, it doesn't matter that D looks big and mean when it comes to the nitrogen lone pairs.
Although the difference in basicity is probably small, I would answer D is more basic.
Good luck on the final.