I have a pair of Bushnell 10x25 optics, is that sufficent for good birdwatching?
Ehhh, you'll want to move up sooner than later. But take your time and do your research.
8 power is generally preferred by most birders, though many like and can use 10's effectively. Also, 40mm objectives are generally preferred, but again, many prefer 32's (included, here, are the nominally different 30x).
So, you will need to research the various combinations (not to mention build-quality, what fits your budget, etc), between 8 and 10 power, and between 32 or 40 mm objectives.
For starters, your 10x25 optics may be a fine introduction. But eventually, you will need to modify your optics to fit your evolving skills.
Hard to answer because some of the answer is personal.
If you look through them and you think they are clear, comfortable, and show detail crisply, then use them and start birding.
Bushnell has several models of 10x25 ranging from $18-$90. Can you provide any additional information on the model and age?
Are you in a position to purchase a new pair?