Back off lifting to 2-3 times a week. Do full body routines so you hit everything twice a week (or three times a week). I presume right now you are probably doing a split.

Hitting everything twice a week should keep you in good shape. Then ride 3-4 times a week. Watch your nutrition, get plenty of protein and lots of carbs.

I lift 3x/week and cycle 3x/week (plus commuting to/from work daily) for a total of 100-150 miles/week, and it hasn't affected my lifting much other than needing to eat like it ...

philip