You can apply now. Most lenders will require you to have a full month of pay stubs with the new employer in order to close. So as long as your income is inline with your previous employer you should be fine. Definitely speak with a lender so you can go over everything but I do not see any problems. I have done these types of loans many times and all I have needed was a month of pay stubs for the new employer. By the time you find a house you will most likely already be past that date anyway.
Best of luck to you,
REALTORÂ® | Mortgage Broker
Keller Williams Realty | 360 Lending Group
o 512.669.5599 m 512.633.4157
firstname.lastname@example.org | http://www.AustinListed.com