My advice would be to rattle can spray the frame ..... in an area with of plenty of ventilation: 3 years ago I brush painted my bike trailer with hammerite dark blue in the living room of my flat and Lois found me passed out from the fumes 2-3 hours later.
Any car type rattle can of cellulose filler primer, and under coat from the usual outlets will be suitable for base coats onto bare metal. For the top coats there is a great range of cellulose gloss colour paints and clear lacquers available, but my preference for a single bicycle frame refurbishment would be to use a large rattle can of synthetic agricultural enamel; this kind of topcoat will go down properly on cellulose primers and undercoats and is exceptionally tough and extremely hard wearing, but allow it at least 48-72 hours to fully cure and harden before assembling the bike.
OK, the range of colours available for Agricultural machinery is a little limited, but there are a few good'uns out there. I spray an awful lot of JCB Yellow, Caterpillar (Sand) yellow, David Brown Chocolate brown, John Deere Green, Brunswick Green, and my particular favorite; British Leyland Dark Blue.