LEDs are probably the future of domestic lighting, but I'm unsure the number of lumens per bulb, or price is ready yet. That said, under cabinets you could possibly use stick on battery powered led light/torches and find them sufficient. Not sure I'd be keen though.
I recently took out florescent strip for halogen in my kitchen ceiling, so I think I'd be advising to stick with what you have for now.
If they keep blowing, are you sure your wiring is ok ? Do they have enough ventilation above to avoid heat build up ? And if they are hidden under the wall cabinet, do florescents look so bad anyway ?