I cleave Me esters frequently without bothering tBu esters. Use 1M LiOH (1-4 eq) in 1,4-dioxanes overnight at RT. It should not touch the tBu ester. Raising the temp much or leaving the reaction in strong acid for any time are both bad for tBu esters.
For example, for 100 mg of a diester (MW ~500) , I might use 1ml 1N LiOH, 2 ml 1,4-dioxanes, stir at RT for 16 hours, then concentrate to dryness, add ~2 ml H2O, 1 ml 1N HCl (should make pH about 5, might add one or two drops more than 1 ml, not much more), then extract with 2-5 ml DCM DCM and dry with NaSO4. I normally get about 80-90% yield, no loss of tBu ester.