The light attracts attention, a gauge you have to look at it and think about the reading. Both might be nice, but I wouldn't want to lose the light.
The sensor attaches with a 1/8 NPT tapered thread, fittings are available at any auto or plumbing shop. I doubt if there is room for a tee and the sender, but they might fit. Don't use 1/8" copper tube for an oil pressure line as it doesn't do well with vibration and will work harden and crack fairly quickly, there is also a corrosion issue when joining copper to aluminum. Aircraft braided hose is best, you can use plastic but it's pretty easy to damage and a broken tube will pump out a lot of oil very quickly. I would mount an electrical gauge sender somewhere close and use an electronic gauge if I wanted it on the steering bridge: routing any pressurized tube through the steering stem would be nightmarish.
I have a mechanical gauge mounted down by the engine, I can see it if I want to look (except at night - no lighting). This works for seeing how things are going as the pressure changes with temperature and oil condition... but the gauge isn't a necessary dashboard instrument in my opinion - probably not necessary at all but I like it anyway.
If your sender is leaking through the mounting threads, remove it and reinstall with two turns of teflon plumber's tape around the threads on the sender tightened snug but not reefed down. The senders often leak through the top stud or around the joint between the plastic and metal parts, a replacement is needed then. Almost any car engine oil pressure switch will work, auto shops usually have generic ones that look roughly identical to the stock Honda one. Make sure it's an oil pressure switch, there are other pressure and vacuum switches that look identical but will not do the job.