First, how realistic is it that the kids will ride their bikes to your house? If it is, then keep looking for something close enough for them to do so. If not, find something you like that's close enough for a quick drive for you to pick them up whenever you want/need to.
Just curious, is your W going to get a job or is she relying on alimony and child support? Also, as Puddle said, you're a devoted dad. You don't have to settle for every other weekend if you don't want to. Joint custody does put a crimp in the ability to get out and meet new people, but compared with being with my girls, there's no comparison (even though they drove me nuts this morning).
BD
My latest
Me: 36 W: 35 2 D: 9 and 5 T: 16 years M: 12 10/4/06: Bomb 10/5/06: Ended A 4/22/07: ILYBNILWY
