When setting up a home working solution, to get the best from it you should look to create an ergonomic, comfortable, and efficient space that accurately replicates your desk back in the office.
Working on a laptop with a 15" screen might be acceptable for short periods of time, but if you're planning to spend long extended periods in your home office, then you really should be considering a larger dedicated monitor. A larger keyboard will make a valuable addition to productivity, as will a high-quality webcam for your video conference needs.