Multiple RGB led strips with Uno - options?
I know what you mean - LED strips with all the same colour at the same time. I've used these and I assume you can wire up the MOSFETs ok. If you don't need individually-addressable LEDs they can still produce some effects.

To control 30 PWM lines, at first I thought using the Mega would solve it, but as someone else reminded us, only 15 are full (hardware) PWM and some would have to be software PWM. This may be good enough, I don't know. More expensively, you could use two MEGAs with one acting as a slave to get 30 full PWM pins.

Another idea would be to use a PCA9685 chip module. I got a couple of these on ebay some while ago (dirt cheap, under £2/$2 ) and each board provides 16 PWM outputs, all controlled from I2C input. They aren't hard to use and have library code for Arduino. Two of these and an UNO would do it or one and a MEGA.