Hi J.,
Don't be embarassed. Unfortunately, roaches are a fact of life for just about every apartment dweller in central Texas. Once they get into one apartment, they are in them all.
When we moved from our last rental into our first house, I was determined not to move the roaches with us, so I took some pretty drastic (and somewhat expensive) measures. It was worth it. In the years since purchasing our home, we have never had a roach problem.
First, I sprayed the inside of every box before packing it. Then, after we had the truck completely loaded, I set off a bug bomb in it. We had a bit of a drive between locations, so there was time for it. As we unpacked, everything had to be cleaned before putting it away. It was a lot of work, but worth it. Next, I removed all of the carboard boxes as soon as they were empty. Didn't want to risk having any eggs hatch in there. Next, I put out those roach bait trays everywhere to get any survivors. (There actually were a few--I think they could survive a nuclear blast.)
Last, I got some of those electronic pest preventer things. You keep them plugged in and they transmit some kind of high-pitch frequency that scares away bugs and rodents. We do see a rare, occasional sugar ant or spider after it rains, but otherwise, our home has remained pest free for years.
Hope this helps, B.
P.S. I just recieved a response from another mama that made me realize I need to clarify the way we used the bug bomb in the moving truck. It could be dangerous. First, it was cool when we moved, so heat wasn't an issue. Also, we didn't move the truck until after the bomb had finished dispensing. The distance gave the already dispensed poison time to work. Please, don't set one of those things off in a moving vehicle. Who knows what could happen?