Remus took a bit longer to get away than he intended. It was likely paranoia on his part, but he didn't like to travel directly anywhere for fear of being tracked. On his own, he was just one man - werewolf - and not of great importance to the Death Eaters. But he was known to have close ties to Harry, and to be a member of the Order, which made him perhaps a higher priority for the Death Eaters than he would have been otherwise.
So he took roundabout routes and stayed as far beneath notice as possible. He'd thought he saw someone sniffing about the cheap flat he was currently staying at - he only went back to his own cottage for Moons - so he took a random floo and loitered around diagon for a bit after that before finally apparating close to Shell and walking over.
He spotted Bill outside and tucked his hands into the pockets of his somewhat threadbare coat, walking over to smile a greeting at the other man. Bill was a bit younger than he was, but not enough that he felt like he was an old man amongst the kids, as he sometimes did with the others. "Avoiding the crowd?" Remus asked, glancing back toward the lights of the cottage behind them. It was a full house for the small space.