Luke uniquely had Jesus continue to emphasize what he had just said. Whenever they entered a town (καὶ εἰς ἣν ἂν πόλιν εἰσέρχησθε) where people welcomed them (καὶ δέχωνται ὑμᾶς), they were to eat (ἐσθίετε) what was set before them (τὰ παρατιθέμενα ὑμῖν). Luke was the only one of the gospel writers to mention that these 70 disciples should eat what they were given, instead of being picky and demanding special food. Perhaps this was also an indication that they might be able to accept non-kosher food if that is all that somebody had available. Are you picky about what you eat?
Luke indicated that Jesus said to the 70 disciples that they were to remain in the same house (ἐν αὐτῇ δὲ τῇ οἰκίᾳ μένετε). They should eat (ἔσθοντες) and drink (καὶ πίνοντες) whatever they were provided (τὰ παρ’ αὐτῶν). Jesus said that the laborer deserved to be paid or was worthy of his wages (ἄξιος γὰρ ὁ ἐργάτης τοῦ μισθοῦ αὐτοῦ). They were not to move around (μὴ μεταβαίνετε) from house to house (ἐξ οἰκίας εἰς οἰκίαν). This is similar to what Luke, chapter 9:4 indicated that Jesus said to his 12 apostles. There Jesus told the apostles that whatever house they entered, they were to stay there and leave from there. Equivalent passages to this can be found in Matthew, chapter 10:11, and Mark, chapter 6:10. Mark indicated that Jesus had a very simple message about where to stay. Wherever they entered a house, they should stay there in one place until they left. They should not switch places. Matthew also had Jesus give a very simple message about where to stay when they entered a town or village. They should try to find a place to stay with someone who was worthy, honorable, or suitable. They should not switch places. They should stay in that one place until they left. They were not to go wandering around. Find a suitable person and place! Then stay there! This message to the 12 apostles and 70 disciples was the same. Matthew, chapter 10:10 also indicated that these laborers deserved their food, just like Luke here. Luke even indicated that they should eat and drink whatever they get, and not be picky. Where do you stay when you travel?