Efficiently sterilizing bottles

I use the fermentation bucket for bottle sanitizing.

I agree with Chino Brews in recommending the use of a no-rinse sanitizer. I've been using BTF Iodophor. It only requires a two minute contact and no rinsing (rinsing is prohibited, actually). I've been brewing for about 9 months (not long, I know) and I'm working on my 7th beer now and I have had good experience with iodophor.

Iodophor is a sanitizer only, so you'll have to properly clean your bottles before using iodophor. I actually use a large sink for the cleaning process, but I used to use the fermentation bucket before I had a large sink. I've been using TDC Glassware Detergent for this step.

There is not a lot of information on Bruclens on the Internet, but it seems like it is packaged and sold by Wilkos in the UK, and its active ingredients include sodium percarbonate (the same active ingredient in OxyClean Free, which is a cleanser), and 7% chlorine (which is the sanitizer).

If I just made the sterilizer came in to contact with all of the bottle could I just leave it for 10 minutes before rinsing?

Yes. With chlorine-based sanitizers, as long as you mix them to the recommended concentration, you just have to keep the surface wet for the recommended contact time and do not need to completely immerse the item being sanitized. Then you must rinse off the sanitizer lest you end up with band-aid (plaster), chloraseptic (sort of like Dettol) off-flavors. Bruclens is not a no-rinse sanitizer, so you must rinse it off with sanitary water. I recommend keeping a spray bottle filled with your sanitizing solution, and you can spray things wet, including the inside of bottles.

Is putting the bottles in the oven as effective as using a sterilizer?

Yes, it can be, and here is how to do it. Some people on other forums have experienced that heating the bottles in the oven weakens the glass.

I also recommend switching in the future to a no-rinse sanitizer such as Star-San or Iodophor (sold in the UK as Betadine, Evans FamM30, Evans V.18 -- look for the words povidone-iodine or povidone). The same rule applies -- as long as you mix them to the recommended concentration, you just have to keep the surface wet for the recommended contact time -- and you do NOT have to rinse and SHOULD NOT rinse.

I'm assuming you have a bottling bucket? Can't you just fill the sterilizer directly into the bottles? Then leave them for 10 mins before emptying and putting the same sterilizer into the next batch of bottles.