eslint: update to ^6.1.0

Unfortnately, React Native 0.60.0 specifies this version of ESLint as
a requirement. (0.62.0-rc1 removes the requirement.)

Note that `prettier-eslint` is not yet fully compatible with ESLint 6,
although an open PR exists which should remedy this:
prettier/prettier-eslint#236

package.json

@@ -87,17 +87,18 @@
     "babel-eslint": "^10.0.2",
     "babel-plugin-transform-remove-console": "^6.9.4",
     "deep-freeze": "^0.0.1",
-    "eslint": "^5.16.0",
-    "eslint-config-airbnb": "^17.1.1",
-    "eslint-config-airbnb-base": "^13.2.0",
+    "eslint": "^6.1.0",
+    "eslint-config-airbnb": "^18.0.1",
+    "eslint-config-airbnb-base": "^14.0.0",
     "eslint-config-prettier": "^6.0.0",
     "eslint-plugin-flowtype": "^3.9.0",
     "eslint-plugin-import": "^2.18.1",
     "eslint-plugin-jest": "^22.11.1",
     "eslint-plugin-jsx-a11y": "^6.2.3",
     "eslint-plugin-prettier": "^3.1.0",
     "eslint-plugin-react": "^7.14.2",
-    "eslint-plugin-react-native": "^3.7.0",
+    "eslint-plugin-react-hooks": "^1.7.0",
+    "eslint-plugin-react-native": "^3.8.0",
     "eslint-plugin-spellcheck": "0.0.14",
     "flow-bin": "^0.92.0",
     "flow-coverage-report": "^0.6.0",