There's no such sound in English, this will help:
In some Brittish accents the oo-sound in "book" actually come fairly close to the Swedish ö-sound (but the classic BBC English pronounciation of "book" is very far from this sound).
There are also quite a few provincial variations of the Swedish ö-sound, and the ones I use myself are not exactly the same as the ones shown in the video that Devalanteriel has linked (it's a good video, but it doesn't cover everything). The ö-sound I use myself in "bröd" is more closed (still no English or Welsh equivalent, unfortunately), but there are people growing up just 10 miles from where I grew up who pronounce "bröd" with an open ö-sound like 'ir'-sound in English "bird" (so to get that version of "bröd" you just think of the English word "bird" and add another r - "brird").
These two examples are probably fairly much at either edge, so the ö-sound in "bröd" will be somewhere between them...
(Seeing that you learn Welsh as well, you could add an enlongated version of the sound of the first 'y' in "ysbyty" to get another possible Swedish version of the ö-sound, and I guess that pronounciation will be fairly close to the 'oo'-sound in "book" the way you pronounce it - just slightly longer).