To make the tea cup I got a mug at the dollar store and printed off a Starfleet logo off the internet. I cut out and taped the logo onto the mug and traced it onto the mug with a dry erase marker (it's easy to wipe off if you make mistakes) and then went over it in black sharpie. Then on the opposite side I wrote "Earl Grey. Hot." -Picard in sharpie. Then baked it in the oven for a half hour to keep the sharpie from washing off or fading.
Hope this helps anyone out there struggling to think of what to get their trekkie mom for mothers day!