stut

Weather may include rain any time of year!

Bikes tend to have built in rear wheel locks, and this is generally sufficient for Copenhagen. Helmets are worn by a minority, and not really needed here... Frankly, you could ride blindfolded and your biggest risk would be falling into the harbour.

There are bike racks everywhere in the city, but they can be very full! It is, however, acceptable to leave a bike leaning or on a kick stand - the ring lock will protect it - as long as it's not in the way.

GUWonder

It's too bad that bicycling across the bridge isn't an option for most of us. I would like to do it at least once. A bike can be taken on the train between Copenhagen and Malmo -- although it may need a special ticket -- and there are nice bike paths around Malmo too. It's not that uncommon for Scandinavian hotels to have bikes as an amenity to borrow/rent. I know some of the hotels I use around the Oresund region lend out bikes, but they tend to be nothing fancy (to put it kindly). I don't see helmets lent out by the hotels, but maybe they have those too. Adult Danes seem less likely to use bike helmets during commutes than adult-aged Swedes.

stut

Yes, you do need a bike ticket for the Oresund train (think it's about 15 DKK), and there's loads of space for them in the accessible section of the unit (although you may want to make sure you board before the airport, as it fills up with suitcases there!). I'd also love to cycle over the bridge, but the wind that whistles down the Oresund might make it a less than enjoyable experience!

Bike's a good way to explore Malmo. The city centre is compact, but if you want to get out to the castle and Vastra Hamnen/Twisting Torso, it's a great way to go. It's not nearly as easy to hire a bike in Malmo as in Copenhagen unless you're staying in a hotel - they only place that does public hires is in the bus station, and they're expensive, and pretty questionable quality.

An option for Copenhagen is the city bike scheme - designed for short rents, but with a built-in GPS, that includes guided tours of the city. However, they cannot be taken out of the city centre:

http://bycyklen.dk/en/

GUWonder

Last year, Skanska and Sweco had a proposal for something like a raised bike path for the whole 8-mile stretch to bike between the countries. I was under the impression that Denmark was more keen on such a thing than Sweden. Either way, I want to bike across at least once if they ever allow me. It just won't be on a day where the bridge or any such proposed path is closed due to winds.

Biking in the region at the end of May is a nice time usually, but this region has substantial chances for precipitation on any given day. Most often it is a passing rain that isn't heavy and doesn't last too long, but the clouds and rain come here very often; and the ability to predict the short-term weather is way more suspect here than it is in most of the US.

helosc

I have walked to Sweden on the bridge.
They had a day ( or a weekend ) before the bridge opened, when it was open to the public for a fee ( transport to the bridge included ).
I don't remember if it was open for cycling, though

GUWonder

Cool.

There has been at least one or two days where the bridge was available to some non-motorized vehicle use, but the limited opportunity didn't work for me or wasn't known to me prior to the events.

I have friends who take motorcycles across the bridge. I would guess that the winds while doing that are much more intensive than for a bicycle, but I won't know for sure unless I get lucky and get one of those rare opportunities when the bridge has a special event. How long was the walk?