As far as the noseband goes, most horses dont really notice a difference. My horse rides with a nose band english and without one western and there is no real change.
For the bit, your english bit will hang just fine as they work the same.
If you are concerned about a noseband or just want something to hack around in, try a trail bridle. I love mine, its like a halter with bit hanging attachments. It comes in real handy if you like to stop for a bit while out riding, you can drop the bit and attach a lead and bam, your ready to lead! You can usually find an inexpensive used on on ebay or in a consignment tack shop. Some of them are really cute!